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Simplifying -2x + 2(-2x + 15) = 3(x + -11) Reorder the terms: -2x + 2(15 + -2x) = 3(x + -11) -2x + (15 * 2 + -2x * 2) = 3(x + -11) -2x + (30 + -4x) = 3(x + -11) Reorder the terms: 30 + -2x + -4x = 3(x + -11) Combine like terms: -2x + -4x = -6x 30 + -6x = 3(x + -11) Reorder the terms: 30 + -6x = 3(-11 + x) 30 + -6x = (-11 * 3 + x * 3) 30 + -6x = (-33 + 3x) Solving 30 + -6x = -33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + -6x + -3x = -33 + 3x + -3x Combine like terms: -6x + -3x = -9x 30 + -9x = -33 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + -9x = -33 + 0 30 + -9x = -33 Add '-30' to each side of the equation. 30 + -30 + -9x = -33 + -30 Combine like terms: 30 + -30 = 0 0 + -9x = -33 + -30 -9x = -33 + -30 Combine like terms: -33 + -30 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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